A Sufficient Condition for the Stability of Conservative Gyroscopic Systems

[+] Author and Article Information
D. J. Inman

Center for Control Sciences, Division of Applied Mathematics, Brown University, Providence, RI 01912

J. Appl. Mech 55(4), 895-898 (Dec 01, 1988) (4 pages) doi:10.1115/1.3173738 History: Received April 12, 1988; Revised June 29, 1988; Online July 21, 2009


A sufficient condition for the stability of conservative gyroscopic systems with negative definite stiffness is presented. The conditions for stability are stated in terms of the definiteness of certain combinations of the coefficient matrices of the equations of motion. These conditions yield design constraints in terms of the physical parameters of the system. An example is given to illustrate the correctness of the result, as well as to provide a comparison with the results of other researchers.

Copyright © 1988 by ASME
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